On the Clifford-Littlewood-Eckmann groups: A new look at periodicity mod 8

DOI10.1216/RMJ-1989-19-3-749zbMath0726.11025OpenAlexW1981116469MaRDI QIDQ802652

Tsit-Yuen Lam, Tara L. Smith

Publication date: 1989

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-1989-19-3-749

zbMATH Keywords

unitsClifford algebrasirreducible representationsHurwitz problemcomposition of quadratic formscentral involutionClifford-Littlewood-Eckmann groupsgeneralized Hurwitz-Radon functionsmaximal elementary abelian subgroupsperiodicity formulastheorem of Wall

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Clifford algebras, spinors (15A66) Quadratic spaces; Clifford algebras (11E88)

Related Items (4)

Gastineau-Hills' quasi-Clifford algebras and plug-in constructions for Hadamard matrices ⋮ Cohomology of symplectic groups and Meyer's signature theorem ⋮ Mackey's theory of \(\tau\)-conjugate representations for finite groups. ⋮ A characterization of C-fields via Galois groups

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